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Height of Key given Compressive Stress in Key Formula

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Height of Key is defined as the vertical length of the key that is used to transmit the torque produced and to restrict the relative movement between two rotating elements. Check FAQs

h = 4 \cdot \frac{M t}{d s \cdot l \cdot σ c}

h - Height of Key?M_t - Transmitted Torque by Keyed Shaft?d_s - Diameter of Shaft using Key?l - Length of Key?σ_c - Compressive Stress in Key?

Height of Key given Compressive Stress in Key Example

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Here is how the Height of Key given Compressive Stress in Key equation looks like with Values.

Here is how the Height of Key given Compressive Stress in Key equation looks like with Units.

Here is how the Height of Key given Compressive Stress in Key equation looks like.

4.4544 = 4 \cdot \frac{224500}{45 \cdot 35 \cdot 128}

4.4544mm = 4 \cdot \frac{224500N*mm}{45mm \cdot 35mm \cdot 128N/mm²}

4.4544 = 4 \cdot \frac{224500}{45 \cdot 35 \cdot 128}

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Height of Key given Compressive Stress in Key Solution

Follow our step by step solution on how to calculate Height of Key given Compressive Stress in Key?

FIRST Step Consider the formula

h = 4 \cdot \frac{M t}{d s \cdot l \cdot σ c}

Next Step Substitute values of Variables

∴

h = 4 \cdot \frac{224500N*mm}{45mm \cdot 35mm \cdot 128N/mm²}

Next Step Convert Units

∴

h = 4 \cdot \frac{224.5N*m}{0.045m \cdot 0.035m \cdot 1.3E+8Pa}

Next Step Prepare to Evaluate

∴

h = 4 \cdot \frac{224.5}{0.045 \cdot 0.035 \cdot 1.3E+8}

Next Step Evaluate

∴

h = 0.00445436507936508m

Next Step Convert to Output's Unit

∴

h = 4.45436507936508mm

LAST Step Rounding Answer

∴

h = 4.4544mm

Height of Key given Compressive Stress in Key Formula Elements

Variables

Height of Key

Height of Key is defined as the vertical length of the key that is used to transmit the torque produced and to restrict the relative movement between two rotating elements.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Key

Transmitted Torque by Keyed Shaft

Transmitted Torque by Keyed Shaft is defined as the amount of torque or the rotating power transferred from a shaft using a key into it.

Symbol: M_t

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Transmitted Torque by Keyed Shaft

Diameter of Shaft using Key

Diameter of Shaft using Key is defined as the external surface diameter of a shaft (a rotating machine element) using a key into it.

Symbol: d_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft using Key

Length of Key

The Length of Key is defined as the length of the key which is used to prevent rotation of a machine component or it is the major dimension of the key.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Key

Compressive Stress in Key

Compressive Stress in Key is the force per unit area of a key cross-section that is responsible for the deformation of the material such that the volume of the material reduces.

Symbol: σ_c

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Compressive Stress in Key

Other formulas in Design of Square and Flat Keys category

Go Force on Key

F = 2 \cdot \frac{M t}{d s}

Go Torque Transmitted by Keyed Shaft given Force on Keys

M t = F \cdot \frac{d s}{2}

Go Shaft Diameter given Force on Key

d s = 2 \cdot \frac{M t}{F}

Go Shear Stress in given Force on Key

𝜏 = \frac{F}{b k \cdot l}

How to Evaluate Height of Key given Compressive Stress in Key?

Height of Key given Compressive Stress in Key evaluator uses Height of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Compressive Stress in Key) to evaluate the Height of Key, Height of Key given Compressive Stress in Key is defined as the height of the key which is inserted in between the shafts for the torque transmission. Height of Key is denoted by h symbol.

How to evaluate Height of Key given Compressive Stress in Key using this online evaluator? To use this online evaluator for Height of Key given Compressive Stress in Key, enter Transmitted Torque by Keyed Shaft (M_t), Diameter of Shaft using Key (d_s), Length of Key (l) & Compressive Stress in Key (σ_c) and hit the calculate button.

FAQs on Height of Key given Compressive Stress in Key

What is the formula to find Height of Key given Compressive Stress in Key?

The formula of Height of Key given Compressive Stress in Key is expressed as Height of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Compressive Stress in Key). Here is an example- 4454.365 = 4*224.5/(0.045*0.035*128000000).

How to calculate Height of Key given Compressive Stress in Key?

With Transmitted Torque by Keyed Shaft (M_t), Diameter of Shaft using Key (d_s), Length of Key (l) & Compressive Stress in Key (σ_c) we can find Height of Key given Compressive Stress in Key using the formula - Height of Key = 4*Transmitted Torque by Keyed Shaft/(Diameter of Shaft using Key*Length of Key*Compressive Stress in Key).

Can the Height of Key given Compressive Stress in Key be negative?

No, the Height of Key given Compressive Stress in Key, measured in Length cannot be negative.

Which unit is used to measure Height of Key given Compressive Stress in Key?

Height of Key given Compressive Stress in Key is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Height of Key given Compressive Stress in Key can be measured.

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Height of Key given Compressive Stress in Key Formula

Height of Key given Compressive Stress in Key Example

Height of Key given Compressive Stress in Key Solution

Height of Key given Compressive Stress in Key Formula Elements

Other formulas in Design of Square and Flat Keys category

How to Evaluate Height of Key given Compressive Stress in Key?

FAQs on Height of Key given Compressive Stress in Key

Variable Name